What is the Least Common Multiple of 1395 and 1401?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 1395 and 1401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1395 and 1401, than apply into the LCM equation.

GCF(1395,1401) = 3
LCM(1395,1401) = ( 1395 × 1401) / 3
LCM(1395,1401) = 1954395 / 3
LCM(1395,1401) = 651465

Least Common Multiple (LCM) of 1395 and 1401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1395 and 1401. First we will calculate the prime factors of 1395 and 1401.

Prime Factorization of 1395

Prime Factorization of 1401

Now multiplying the highest exponent prime factors to calculate the LCM of 1395 and 1401.

LCM(1395,1401) = 3² × 5¹ × 31¹ × 467¹
LCM(1395,1401) = 651465